Exponentiability in Categories of Lax Algebras

Exponentiability in Categories of Lax Algebras (2003)

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by Maria Manuel Clementino , Dirk Hofmann , Walter Tholen

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@MISC{Clementino03exponentiabilityin,
    author = {Maria Manuel Clementino and Dirk Hofmann and Walter Tholen},
    title = {Exponentiability in Categories of Lax Algebras},
    year = {2003}
}

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Abstract

For a complete cartesian-closed category V with coproducts, and for any pointed endofunctor T of the category of sets satisfying a suitable Beck-Chevalley-type condition, it is shown that the category of lax reflexive (T , V)-algebras is a quasitopos. This result encompasses many known and new examples of quasitopoi. 1.

Citations

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